0580/22 Oct/Nov 2022, Question 20: Fractional Indices with Letters
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Simplify two algebraic expressions involving fractional and negative indices, giving each result in its simplest form.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 2 marks
Simplify (81x¹⁶)^(3/4) fully.
- 181^(3/4) = (⁴√81)³ = 3³ = 27
- 2(x¹⁶)^(3/4) = x¹²
- 3= 27x¹²
Answer27x¹²
Part (b) · 1 mark
Simplify (1/y²)^(−1/2) fully.
- 1(1/y²)^(−1/2) = (y²)^(1/2) = ±y
Answer±y
Stuck on a step? Read the free lesson: Fractional Indices with Letters
Practise more fractional indices with letters questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on fractional indices with letters
Also searched as: 0580/22/O/N/22 · 0580_w22_qp_22 · 0580 w22 22 · question 20.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.